One-Sided Limits - Worksheet 5 - 12th Grade
MediumEvaluate one-sided limits and determine existence (Medium)
22 problems · 20-25 minutes · Skills: limits, calculus, continuity
About This Worksheet
This medium-level worksheet contains 22 problems designed for 12th Grade students practicing one-sided limits. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
One-sided limits are essential for understanding continuity and the existence of two-sided limits, and they appear directly in the definition of the derivative. They are also the key tool for analyzing piecewise functions and for understanding what happens at discontinuities.
- Evaluate left-hand limits and right-hand limits separately
- Determine whether a two-sided limit exists by checking whether the one-sided limits agree
- Identify limits at jump discontinuities in piecewise functions
- Find the value of a parameter that makes a one-sided limit exist
- Evaluate one-sided limits of absolute value functions by considering each case
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
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What skills does this limits & continuity worksheet cover?
This worksheet focuses on limits, calculus, continuity. It is designed for 12th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
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How many problems are on this worksheet?
This worksheet contains 22 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.